The elementary row operations may be viewed as the multiplication on the left of the original matrix by elementary matrices.
12.
Using row operations to convert a matrix into reduced row echelon form is sometimes called "'Gauss Jordan elimination " '.
13.
There are named methods for solving system of linear equations, like Gauss-Jordan which can be expressed as matrix elementary row operations.
14.
By means of a finite sequence of elementary row operations, called Gaussian elimination, any matrix can be transformed to row echelon form.
15.
Operations like row operations or column operations can be performed on a matrix, using which we can obtain the inverse of a matrix.
16.
For computational reasons, when solving systems of linear equations, it is sometimes preferable to stop row operations before the matrix is completely reduced.
17.
Therefore, if one's goal is to solve a system of linear equations, then using these row operations could make the problem easier.
18.
Since elementary row operations preserve the row space of the matrix, the row space of the row echelon form is the same as that of the original matrix.
19.
Local officials opposed a 2001 law and two 2005 bills that might eventually have led to a transfer of death row operations from San Quentin State Prison to SAC.
20.
Since row operations can affect linear dependence relations of the row vectors, such a basis is instead found indirectly using the fact that the column space of " A"
